2970000 has 200 divisors, whose sum is σ = 11621280. Its totient is φ = 720000.

The previous prime is 2969987. The next prime is 2970031. The reversal of 2970000 is 792.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269995 + ... + 270005.

2^2970000 is an apocalyptic number.

2970000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810640).

2970000 is an abundant number, since it is smaller than the sum of its proper divisors (8651280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2970000 is a wasteful number, since it uses less digits than its factorization.

2970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2970000 is about 1723.3687939614. The cubic root of 2970000 is about 143.7425957119.

Adding to 2970000 its reverse (792), we get a palindrome (2970792).

The spelling of 2970000 in words is "two million, nine hundred seventy thousand".